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Finding the Fourth Proportional to 341,089.42, 470,887.95 and 205,153.71

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Solution

The fourth proportional to 341,089.42, 470,887.95 and 205,153.71 is: 283,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,089.42 : 470,887.95 = 205,153.71 : x
  2. Step 2: Convert to fraction form
    341,089.42/470,887.95 = 205,153.71/x
  3. Step 3: Cross multiply
    341,089.42x = 470,887.95 × 205,153.71
  4. Step 4: Simplify right side
    341,089.42x = 96,604,409,936.79
  5. Step 5: Solve for x
    x = 96,604,409,936.79/341,089.42
  6. Step 6: Final answer
    x = 283,223.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.